含参数不确定性和扰动的非线性系统的H_∞控制

H_∞ Control of nonlinear systems subject to parametric uncertainties and disturbances

研究一类含参数不确定性和扰动的非线性系统的H∞ 鲁棒控制问题 .给出了这类非线性系统L2 增益有限且系统内部稳定的充分条件 .研究的方法是化含参数不确定性的HJI不等式为若干个不含参数不确定性的HJI不等式 .

H ∞ robust control for a class of nonlinear systems subject to parametric uncertainties and disturbances is studied. By the technique of converting a Hamilton-Jacobi-Inequality(HJI) subject to parametric uncertainties into some Hamilton-Jacobi-Inequalities not subject to parametric uncertainties, a sufficient condition such that the class of nonlinear systems is asymptotically stable and has limited L 2-gain is presented.